A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems

From MaRDI portal
Publication:1339361

DOI10.1016/0377-0427(92)00114-OzbMath0872.65066OpenAlexW1997590950MaRDI QIDQ1339361

A. B. Sideridis, E. Dimas, Theodore E. Simos

Publication date: 1 December 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)00114-o




Related Items (30)

A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solutionTwo optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutionsA new methodology for the development of numerical methods for the numerical solution of the Schrödinger equationA new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equationHigh order multistep methods with improved phase-lag characteristics for the integration of the Schrödinger equationA new two-step hybrid method for the numerical solution of the Schrödinger equationHigh algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equationMulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equationUnnamed ItemA hybrid method with phase-lag and derivatives equal to zero for the numerical integration of the Schrödinger equationAn improved class of generalized Runge-Kutta-Nyström methods for special second-order differential equations.Two-step high order hybrid explicit method for the numerical solution of the Schrödinger equationA NEW METHODOLOGY FOR THE CONSTRUCTION OF OPTIMIZED RUNGE–KUTTA–NYSTRÖM METHODSRunge-Kutta type methods with special properties for the numerical integration of ordinary differential equationsA family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equationA Runge-Kutta-Nyström pair for the numerical integration of perturbed oscillatorsA phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutionsFrequency determination and step-length control for exponentially-fitted Runge-Kutta methodsA symplectic Runge-Kutta-Nyström method with minimal phase-lagOptimal implicit exponentially-fitted Runge-Kutta methodsFOURTH ORDER SYMPLECTIC INTEGRATION WITH REDUCED PHASE ERRORA family of trigonometrically fitted partitioned Runge-Kutta symplectic methodsA new Numerov-type method for the numerical solution of the Schrödinger equationA family of Runge-Kutta methods with zero phase-lag and derivatives for the numerical solution of the Schrödinger equation and related problemsHigh order phase fitted multistep integrators for the Schrödinger equation with improved frequency toleranceRunge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomialsExponentially fitted Runge-Kutta methodsA conditionally \(P\)-stable fourth-order exponential-fitting method for \(y=f(x,y)\)A phase-fitted collocation-based Runge-Kutta-Nyström methodUnnamed Item



Cites Work


This page was built for publication: A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems